Authors:
            
                    Vincenzo Fioriti
                    
                        
                    
                    ; 
                
                    Stefano Chiesa
                    
                        
                    
                     and
                
                    Fabio Fratichini
                    
                        
                    
                    
                
        
        
            Affiliation:
            
                    
                        
                    
                    ENEA C. R. Casaccia, Italy
                
        
        
        
        
        
             Keyword(s):
            Swarm Intelligence, Underwater Autonomous Vehicle, Topology Reconstruction, Eigenvalue Spectrum.
        
        
            
                Related
                    Ontology
                    Subjects/Areas/Topics:
                
                        Distributed Control Systems
                    ; 
                        Informatics in Control, Automation and Robotics
                    ; 
                        Intelligent Control Systems and Optimization
                    ; 
                        Network Robotics
                    ; 
                        Robotics and Automation
                    ; 
                        Space and Underwater Robotics
                    
            
        
        
            
                Abstract: 
                An important task in underwater autonomous vehicle swarm management is the knowledge of the graph topology, to be obtained with the minimum possible communication exchanges and amid heavy interferences and background noises.  Despite the importance of the task, this problem is still partially unsolved.  Recently,  the Fast Fourier Transform and the addition of white noise to consensus signals have been proposed independently to determine respectively the laplacian spectrum and the adjacency matrix of the graph of interacting agents from consensus time series, but both methodologies suffer technical difficulties.  In this paper, we combine them in order to simplify calculations,  save energy and avoid topological reconstruction errors using only the largest eigenvalue of the spectrum and instead of white noise, a high frequency, low amplitude  noise. Numerical simulations of several swarms  (random, small-world, pipeline, grid) show an exact reconstruction of the configuration topolog
                ies.
                (More)